MinT - Information on Result #1649588

Information on Result #1649588

Linear OOA(3²¹⁷, 2097152, F₃, 5, 22) (dual of [(2097152, 5), 10485543, 23]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(3²¹⁷, 2097152, F₃, 4, 22) (dual of [(2097152, 4), 8388391, 23]-NRT-code), using

1 times NRT-code embedding in larger space [i] based on linear OOA(3²¹³, 2097151, F₃, 4, 22) (dual of [(2097151, 4), 8388391, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3²¹³, 4194302, F₃, 2, 22) (dual of [(4194302, 2), 8388391, 23]-NRT-code), using
  - 1 times NRT-code embedding in larger space [i] based on linear OOA(3²¹¹, 4194301, F₃, 2, 22) (dual of [(4194301, 2), 8388391, 23]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(3²¹¹, 8388602, F₃, 22) (dual of [8388602, 8388391, 23]-code), using
      - discarding factors / shortening the dual code based on linear OA(3²¹¹, large, F₃, 22) (dual of [large, large−211, 23]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,21], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 23 [i]

Mode: Linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(3²¹⁸, 2097152, F₃, 5, 22) (dual of [(2097152, 5), 10485542, 23]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(3²¹⁹, 2097152, F₃, 5, 22) (dual of [(2097152, 5), 10485541, 23]-NRT-code)	[i]		OOA Duplication